Answer:
[tex]\text{B }[/tex]
Explanation:
Here, we want to solve the given quadratic equation
We start by dividing through by 4
We have that as:
[tex]x^2\text{ + 6 = 0}[/tex]
Then we proceed to evaluate the above, solving for x
[tex]\begin{gathered} x^2=\text{ -6} \\ x\text{ = }\sqrt{-6} \\ x=\text{ }\sqrt{6\text{ }\times(-1)} \\ x\text{ = }\sqrt{6}\text{ }\times\text{ }\sqrt{(-1)} \\ \sqrt{(-1)}\text{ = i} \\ x=\text{ i}\pm\sqrt{6} \\ x\text{ = +i}\sqrt{6}\text{ or -i}\sqrt[]{6} \end{gathered}[/tex]
